{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:C4RCBERK3YTYB2W6X7M5QOKVIR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8b6bc47043067652fd0fa02f4ebae884836c06fd4deda9fe95b5581da553cd68","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-03-23T08:55:08Z","title_canon_sha256":"89da9cb6143ecd73ee586cf417221c63c6c5c7fd1fc29300b566adcf33ac2411"},"schema_version":"1.0","source":{"id":"2603.21712","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.21712","created_at":"2026-07-22T01:22:38Z"},{"alias_kind":"arxiv_version","alias_value":"2603.21712v2","created_at":"2026-07-22T01:22:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.21712","created_at":"2026-07-22T01:22:38Z"},{"alias_kind":"pith_short_12","alias_value":"C4RCBERK3YTY","created_at":"2026-07-22T01:22:38Z"},{"alias_kind":"pith_short_16","alias_value":"C4RCBERK3YTYB2W6","created_at":"2026-07-22T01:22:38Z"},{"alias_kind":"pith_short_8","alias_value":"C4RCBERK","created_at":"2026-07-22T01:22:38Z"}],"graph_snapshots":[{"event_id":"sha256:c418df1e211ff2b796fd4b2877f9b2e4964f55efa8ffba4809c49b3cf05833c4","target":"graph","created_at":"2026-07-22T01:22:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2603.21712/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a differential geometric construction of the holomorphic family of Higgs bundle moduli spaces over a curve C as a fibration over Teichm\\\"uller space. The method uses a function f defined on the character variety, essentially the energy of a harmonic map, which is dependent on the complex structure of C. Using f we define a natural family of flat Ehresmann connections parametrized by the circle which reveal various aspects of these moduli spaces and their hyperk\\\"ahler metrics.","authors_text":"Nigel Hitchin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-03-23T08:55:08Z","title":"A universal Higgs bundle moduli space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.21712","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2ec4619126e4abb580b02f3e70a9d51eb9eafb3fc72849f535f2ccd419d7d99f","target":"record","created_at":"2026-07-22T01:22:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8b6bc47043067652fd0fa02f4ebae884836c06fd4deda9fe95b5581da553cd68","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-03-23T08:55:08Z","title_canon_sha256":"89da9cb6143ecd73ee586cf417221c63c6c5c7fd1fc29300b566adcf33ac2411"},"schema_version":"1.0","source":{"id":"2603.21712","kind":"arxiv","version":2}},"canonical_sha256":"172220922ade2780eadebfd9d83955445671b6ecea55ba5d78909292d2ee59a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"172220922ade2780eadebfd9d83955445671b6ecea55ba5d78909292d2ee59a3","first_computed_at":"2026-07-22T01:22:38.676809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-22T01:22:38.676809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1l1AFRzFlIkvRjO4NWUR1nxzszc6i67fsZkGv6aeFA2FzWy3hhZvtvj/xrTgGu3g7ohnBDNZX/RYKzK0Kuk2CQ==","signature_status":"signed_v1","signed_at":"2026-07-22T01:22:38.677708Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.21712","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ec4619126e4abb580b02f3e70a9d51eb9eafb3fc72849f535f2ccd419d7d99f","sha256:c418df1e211ff2b796fd4b2877f9b2e4964f55efa8ffba4809c49b3cf05833c4"],"state_sha256":"64f846ca15c07af582720880dfc4767963666fdfc4b7075850ffc1f17bc31cb0"}